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1) (25 points) Pop fly. It's the bottom of the ninth inning of the Cal-Stanford baseball game-Stanford is at bat and the bases are loaded

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1) (25 points) Pop fly. It's the bottom of the ninth inning of the Cal-Stanford baseball game-Stanford is at bat and the bases are loaded but the Cardinal is down by two runs and there are already two outs. The batter hits a pop fly, which flies right over 2" base, as shown in the diagram. The ball has a mass of 0.1 kg. and it is struck by the bat at a point 1 m above the ground. At its highest point, which is at a height of h - 126 m above the ground, the ball is traveling at an instantaneous speed of 10 m/'s. a) How much work does gravity do on the ball from the time it is struck by the bat until the ball reaches its highest point? Take care with signs. b) What is the magnitude of the horizontal component of the ball's initial velocity? c) What is the kinetic energy of the ball at its highest point? d) How much time does it take the ball to reach its highest point? e) The Cal second baseman starts running to catch the ball 2 seconds after it is hit. If he can run with a constant acceleration of 2 m/s' starting at rest from a point that is 40 m from home plate, will he be able to get to the ball in time to catch it and secure a win for the Bears? ha 126m 31m 7 batter home 40 m and baseman plate 2 nd base

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